101100133111000 has 64 divisors (see below), whose sum is σ = 236949232628160. Its totient is φ = 40375964160000.

The previous prime is 101100133110971. The next prime is 101100133111007. The reversal of 101100133111000 is 111331001101.

It is a super-3 number, since 3×101100133111000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100133111007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79480041 + ... + 80742040.

It is an arithmetic number, because the mean of its divisors is an integer number (3702331759815).

Almost surely, 2^{101100133111000} is an apocalyptic number.

101100133111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100133111000 is an abundant number, since it is smaller than the sum of its proper divisors (135849099517160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100133111000 is a wasteful number, since it uses less digits than its factorization.

101100133111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160222733 (or 160222719 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 101100133111000 its reverse (111331001101), we get a palindrome (101211464112101).

The spelling of 101100133111000 in words is "one hundred one trillion, one hundred billion, one hundred thirty-three million, one hundred eleven thousand".